83885440 has 32 divisors (see below), whose sum is σ = 200540160. Its totient is φ = 33553920.

The previous prime is 83885413. The next prime is 83885447. The reversal of 83885440 is 4458838.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 83885393 and 83885402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83885447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64896 + ... + 66175.

It is an arithmetic number, because the mean of its divisors is an integer number (6266880).

Almost surely, 2^83885440 is an apocalyptic number.

83885440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83885440 is an abundant number, since it is smaller than the sum of its proper divisors (116654720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83885440 is a wasteful number, since it uses less digits than its factorization.

83885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131090 (or 131078 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 83885440 is about 9158.8994972103. The cubic root of 83885440 is about 437.7527290808.

The spelling of 83885440 in words is "eighty-three million, eight hundred eighty-five thousand, four hundred forty".